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Lectures on Transcendental Numbers

Lectures on Transcendental Numbers
Catalogue Information
Field name Details
Dewey Class 512.7
Title Lectures on Transcendental Numbers ([EBook] /) / by Kurt Mahler ; edited by B. Diviš, W. J. Le Veque.
Author Mahler, Kurt
Added Personal Name Diviš, B. editor.
Veque, W. J. Le editor.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1976.
Physical Details XXI, 254 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 546
ISBN 9783540379812
Contents note Existence and first properties of transcendental numbers -- Convergent laurent series and formal laurent series -- First results on the values of analytic functions at algebraic points -- Linear differental equations: The lemmas of Shidlovski -- Linear differential equations: A lower bound for the rank of the values of finitely many siegel E-functions at algebraic points -- Linear differential equations: Shidlovski's theorems on the transcendency and algebraic independence of values of siegel E-functions -- Applications of Shidlovski's main theorems to special functions -- Formal power series as solutions of algebraic differential equations.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0081107
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